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Finding the Fourth Proportional to 216,643.46, 299,009.30 and 145,148.13

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Solution

The fourth proportional to 216,643.46, 299,009.30 and 145,148.13 is: 200,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,643.46 : 299,009.30 = 145,148.13 : x
  2. Step 2: Convert to fraction form
    216,643.46/299,009.30 = 145,148.13/x
  3. Step 3: Cross multiply
    216,643.46x = 299,009.30 × 145,148.13
  4. Step 4: Simplify right side
    216,643.46x = 43,400,640,021.87
  5. Step 5: Solve for x
    x = 43,400,640,021.87/216,643.46
  6. Step 6: Final answer
    x = 200,332.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.